Question

If A is a singular matrix, then A (adj A) = ____________________.

Answer 1

As we know that, A(adj A) = |A|I.

But it is given that A is a singular matrix
Thus, |A| = 0.
Therefore, A(adj A) = 0I = O, where O is the zero matrix.

Hence, if A is a singular matrix, then A (adj A) = O.